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12200220290101 is a prime number
BaseRepresentation
bin1011000110001001010111…
…0010111110110000110101
31121012022220022212200111111
42301202111302332300311
53044342022343240401
641540412005435021
72366302555261504
oct261422562766065
947168808780444
1012200220290101
1139840a2327238
12145059910ba71
136a662554b51c
143026cb04483b
151625508aae51
hexb1895cbec35

12200220290101 has 2 divisors, whose sum is σ = 12200220290102. Its totient is φ = 12200220290100.

The previous prime is 12200220290059. The next prime is 12200220290197. The reversal of 12200220290101 is 10109202200221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11825001562500 + 375218727601 = 3438750^2 + 612551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200220290101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200220290501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100110145050 + 6100110145051.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110145051).

Almost surely, 212200220290101 is an apocalyptic number.

It is an amenable number.

12200220290101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200220290101 is an equidigital number, since it uses as much as digits as its factorization.

12200220290101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12200220290101 its reverse (10109202200221), we get a palindrome (22309422490322).

The spelling of 12200220290101 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred ninety thousand, one hundred one".